40368540216672 has 288 divisors, whose sum is σ = 124354892293632. Its totient is φ = 12857763308544.

The previous prime is 40368540216601. The next prime is 40368540216689. The reversal of 40368540216672 is 27661204586304.

40368540216672 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 8 + 5 + 402 + 166 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172829308 + ... + 173062724.

It is an arithmetic number, because the mean of its divisors is an integer number (431787820464).

Almost surely, 2^{40368540216672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40368540216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62177446146816).

40368540216672 is an abundant number, since it is smaller than the sum of its proper divisors (83986352076960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40368540216672 is a wasteful number, since it uses less digits than its factorization.

40368540216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234432 (or 234412 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 40368540216672 in words is "forty trillion, three hundred sixty-eight billion, five hundred forty million, two hundred sixteen thousand, six hundred seventy-two".